Subtract polynomials: $ \, \color{blue}{ -6x^2-4 } \, $ , $ \, \color{orangered}{ 9x^2-7x }$.
Answer
$$ \left( \color{blue}{-6x^2-4} \right) - \left( \color{orangered}{9x^2-7x} \right) = -15x^2+7x-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -6x^2 & & -4 \\ \color{red}{ - } & 9x^2 & -7x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -6x^2 & & -4 \\ \color{red}{ - } & -9x^2 & 7x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -6x^2 & & -4 \\ \color{red}{ - } & -9x^2 & 7x & \\ \hline & 3x^2 & -7x & -4 \end{array} $$This page was created using
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